Grade 5 math. ! 30 points !

During the month of june, jessica volunteers at a library every 6 days and at a veterinarians office every 10 days. jessica’s first visit to the library was on June 6 and her first visit to the veterinarian office was on June 1th.


What day in June will jessica volunteer at both locations?


Anwser Options

june 6

june 10

june 18

june 20

june 24

june 30

Answers

Answer 1

The day in June, Jessica volunteered at both locations if she volunteers at the library every 6 days and at a veterinarian's office every 10 days is June 30, so option F is correct.

What is LCM?

The abbreviation LCM stands for "Least Common Multiple." The smallest multiple that two or more numbers share is known as the least common multiple.

For instance: The LCM of 2 and 3 is 6.

Given:

Jessica volunteers library every 6 days,

Jessica's veterinarian's office, every 10 days,

So for her visit to both, the place takes the LCM of 6 and 10,

LCM of 6 and 10 = 30,

Hence, on the 30th day, she visits both places so if she starts volunteering from the 1st of June then she will visit both places on the 30th of June.

Therefore, The day in June, Jessica volunteered at both the location if she volunteers at a library every 6 days and at a veterinarian's office every 10 days. Jessica’s first visit to the library was on June 6 and her first visit to the veterinarian's office was on June, 1st is June 30.

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Answer 2

Answer:June 30th

Step-by-step explanation:

So Jessica volunteers every 6 days and 10 days at different places.From June 6th and June 1st you see which one is good for both of them and then June 30th is the answer.


Related Questions

Slope = 4
Y-intercept = -1

Answers

Answer:

y = 4x -1

Step-by-step explanation:

You use the equation y = mx + b

m is the slope, so you just substitute 4 for m, and b is the y-intercept, so you substitute -1 for b

Jill owe $4 dollars to Jennifer, $4 to Michelle, and $4 to Eileen. How much does she owe altogether?

Answers

Answer:

12

Step-by-step explanation:

4+4+4=12 :)

Answer:12

Step-by-step explanation:

Which expression is equivalent to7sqrt x^2/ 5 sqrt y^3
?Assume y/=0,

Answers

Answer:

7sq rt = 2.6457513110645907 = sqrt y^3

Step-by-step explanation:

Can someone please help me with both I will mark u brilliant

Answers

Answer: Question 5 is 18

Question 6 is 11

Step-by-step explanation:

Solve the rational equation:
1 1 1
x-2x+3 5
O A. X=-6.09, x= 5.09
B. There is no solution.
O C. x=-3.09, x= 2.09
D. X=-3, x= 2

Answers

This is A
………………. ……………

The solutions for the equation 23 - x² - 2x = 0 are:

x = 4

x = -6

Option A is the correct answer.

We have,

To solve the rational equation:

1/(x - 1) - 1/(x + 3) - 1/5 = 0

We need to find the common denominator and combine the fractions on the left-hand side.

The common denominator is (x - 1)(x + 3)(5).

Multiplying each term by the common denominator:

[(x + 3)(5) - (x - 1)(5) - (x - 1)(x + 3)] / [(x - 1)(x + 3)(5)] = 0

Simplifying:

[5(x + 3) - 5(x - 1) - (x - 1)(x + 3)] / [(x - 1)(x + 3)(5)] = 0

[5x + 15 - 5x + 5 - (x² + 3x  - x - 3)] / [(x - 1)(x + 3)(5)] = 0

[5x + 15 - 5x + 5 - x² - 3x + x + 3 ] / [(x - 1)(x + 3)(5)] = 0

Simplifying further:

[23 - x² - 2x ] / [(x - 1)(x + 3)(5)] = 0

Now, we set the numerator equal to zero since a fraction is zero if and only if its numerator is zero:

23 - x² - 2x = 0

To solve the quadratic equation 23 - x² - 2x = 0, we can rearrange it to the standard form:

x² + 2x - 23 = 0

Now, we can solve it using factoring, completing the square, or the quadratic formula. Let's solve it using the quadratic formula:

The quadratic formula states that for an equation in the form

ax² + bx + c = 0, the solutions for x are given by:

x = (-b ± √(b² - 4ac)) / (2a)

For our equation x² + 2x - 23 = 0, the coefficients are a = 1, b = 2, and

c = -23.

Substituting these values into the quadratic formula:

x = (-2 ± √(2² - 4(1)(-23))) / (2(1))

Simplifying:

x = (-2 ± √(4 + 92)) / 2

x = (-2 ± √96) / 2

x = (-2 ± 4√6) / 2

Simplifying further:

x = -1 ± 2√6

Therefore,

The solutions for the equation 23 - x² - 2x = 0 are:

x = -1 + 2√6 = 3.89 = 4

x = -1 - 2√6 = -5.89 = -6

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256-x²/4
factorise in process​

Answers

Answer:

[tex]16^2-(\dfrac{x}{2})^2=(16+\dfrac{x}{2})(16-\dfrac{x}{2})[/tex]

Step-by-step explanation:

The given expression is : [tex]256-\dfrac{x^2}{4}[/tex].

We need to factorize it.

We know that, 16² = 256

So,

[tex]256-\dfrac{x^2}{4}=(16)^2-(\dfrac{x}{2})^2[/tex]

We know that, [tex]a^2-b^2=(a-b)(a+b)[/tex]

[tex]16^2-(\dfrac{x}{2})^2=(16+\dfrac{x}{2})(16-\dfrac{x}{2})[/tex]

Hence, this is the required solution.

determine a if x-2 is a factor of f(x)=x^4-3x^3+ax^2-16x+20

Answers

Answer:

x-2 is factor so 2 is zero of f(x) =x^4-3x^3+ax^2-16x+20

Step-by-step explanation:

2^4-3×2^3+a×2^2-16×2+20

solve this Answer is come.THANK YOU.

If (x - 2) is a factor of the polynomial f(x) = x⁴ -3x³ + ax² -16x + 20.

Then the value of a is -17.

What is a polynomial?

An expression that consists of variables, constants, and exponents that are combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial.

Given:

A polynomial,

x⁴ -3x³ + ax² -16x + 20.

If x - 2 is a factor the x = 2 is the zeros of the polynomial.

When x = 2,

then,

x⁴ -3x³ + ax² -16x + 20 = 0

2⁴ -3(2)³ + a(2)² -16(2) + 20 =0

48 + 20 + 4a = 0

4a = -68

a = -17

Therefore, the value of a is -17.

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(no links) Please Help!

Answers

Answer:

Part A: D   Part B: B

Step-by-step explanation:

This question is so free

If 154 pounds is the lightest weight, then
pounds is the heaviest.
170
163
169

Answers

Answer:

169 Pounds

Step-by-step explanation:

...

169 pounds is the answer

Line A passes through the point (-8, 3) and is perpendicular to the line represented by the equation
y = -4x + 9. Line A can be expressed as an equation of the form y = mx + b.
Part A
What is the value of m for line A?
Part B
What is the value of b for line A?

Answers

Answer:

Did u get the answers ?

Step-by-step explanation:

I need help lol

Answer: A: -4 B:-29

Step-by-step explanation:

Use a permutation expression to solve.

In a race of 39 people, how many different ways can the runners place in 1st, 2nd, and 3rd?

9,139

18,278

54,834

59,319

Answers

Answer:

C. 54,834

Step-by-step explanation:

Took the test

THIS QUESTION IS WORTH 50 POINTSMatt and his friends hike 42 mi over a holiday weekend. they hike for 5 hours on saturday, 6 hours on sunday, and 3 hours on monday. they go hiking the following weekend. if they hike at the same rate as they hiked over the holiday weekend, how long will it take to hike 12 mi

Answers

360 mins . Yw. Baiiiiiiiiii

Can someone help me with this?

Answers

Answer:

add to 180, equal, add to 180, equal

Step-by-step explanation:

<1 + <2 = 180

<1 = <3

<3 + <4 = 180

<2 = <4

In ΔPQR, the measure of ∠R=90°, QP = 85, RQ = 13, and PR = 84. What ratio represents the cosecant of ∠P?

Answers

Given:

In ΔPQR, the measure of ∠R=90°, QP = 85, RQ = 13, and PR = 84.

To find:

The cosecant of ∠P.

Solution:

In a right angle triangle,

[tex]\text{cosec}\theta =\dfrac{Hypotenuse}{Perpendicular}[/tex]

It is also written as:

[tex]\text{cosec}\theta =\dfrac{Hypotenuse}{Opposite}[/tex]

In triangle PQR, QP is the hypotenuse because ∠R=90°.

[tex]\text{cosec}P =\dfrac{QP}{RQ}[/tex]

[tex]\text{cosec}P =\dfrac{85}{13}[/tex]

Therefore, the required trigonometric ratio is [tex]\text{cosec}P =\dfrac{85}{13}[/tex].

A smartphone costs $250. Sales tax is 7%. What is the total cost, including tax?
The cost of the smartphone, with tax, is $

Answers

Answer:17.5

Step-by-step explanation:

Our output value is 250

We represent the unknown value wit “x”

250= 100%

x= 7%

By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both

equations have the same unit (%); we have

250/x = 100%/7%

Again, the reciprocal of both sides gives

x/250= 7/100

X= 17.5

17.5=7% of 250

what is 5 1/2 + 2 1/7

Answers

Answer:

[tex]7\frac{9}{14}[/tex]

Step-by-step explanation:

5  1/ 2 +2  1/ 7

= 11/ 2 +2  1/ 7

= 11/ 2 + 15/ 7

= 107/ 14

=7  9/ 14

Answer:

7 9/14

Step-by-step explanation:

Combine the whole numbers and fractions together:

(5 + 2) + ( 1/2 + 1/7)

The whole numbers part is:

5 + 2 = 7

For the fractions part:

The Least Common Multiple (LCM) of 2 and 7 is 14. Multiply the numerator and denominator of each fraction by whatever value will result in the denominator of each fraction being equal to the LCM:

1/2 + 1/7 = 1 × 7 + 1 × 2

                ---------   -------     =    7 /14 + 2/14 = 7 9/14

                2 × 7 +  7 × 2

if a 48-gram serving of pasta contains 6 g of protein how many grams of protein are in a 1,362 gram box of pasta

Answers

Answer:

170.25 grams of protein

Step-by-step explanation:

6/48 = p/1362

cross multiply

6 x 1362 = 48p

8172 = 48p

isolate variable (p) with division

8172/48 = p

170.25 = p

-4, 1, 8, 4, 8, 7, 10, -5, -2, 7
Work out the mean temperature

Please help me the homework is due tomorrow

Answers

You have to add all the numbers then divide by how many there are, the mean is 3.4

Which graph represents an odd function?
please hurry its timed

Answers

Considering it's definition, an odd function is represented by the second function given.

What defines an odd function?

An odd function is defined by the following rule:

f(x) = -f(x).

This means that for example:

If f(1) = -1, then f(-1) = 1.If f(2) = 0, then f(-2) = 0.If f(3) = 5, then f(-3) = -5.

The only graph for which this relation is valid in this problem is the second graph, from which all examples off the numeric values were taken, hence an odd function is represented by the second function given.

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[tex]\int\{-2+(x^{2} +3x)^(6/5) - x^3} \, dx[/tex]

Answers

Apply sum rule:

- 2dx + (x^2 +3x) 6/5dx = x^3dx

2dx = 2x

(x^2 + 3x) 6/5dx = 6/5 (x^3/3 + 3x^2/2)

x^3dx = x^4/4

-2x + 6/5 (x^3/3 + 3x^2/2) - x^4/4

Add constant

-2x + 6/5 (x^3/3 + 3x^2/2) - x^4/4 + c

Use I = PRT to find the total amount in the savings account.
$1555.00 at 8% for 2 years
PLEASE HELP ASAP​

Answers

Answer:

[tex]\boxed {\boxed {\sf \$ 1803.80}}}[/tex]

Step-by-step explanation:

We are using the formula I=PRT and calculating simple interest.

[tex]I=PRT[/tex]

I is the interest, P is the principal or starting amount, R is the interest rate as a decimal, and T is the time in years.

We know that there is $1555.00 at 8% for 2 years. First, convert the interest rate to a decimal. Divide the rate by 100 or move the decimal place 2 spots to the left.

8/100 = 0.08 8. --> 0.8  --> 0.08

Now we know all the values:

P= 1555.00 R= 0.08T= 2

Substitute the values into the formula.

[tex]I= (1555.00)(0.08)(2)[/tex]

Multiply.

[tex]I=124.4(2)[/tex]

[tex]I=248.8[/tex]

The account earned $248.80 in interest, but the question asks for the total amount in the account. We must add the interest to the starting amount.

[tex]1555.00 +248.80[/tex]

[tex]1803.8[/tex]

After 2 years, the savings account had $1803.80

Step-by-step explanation:

Principal=P=1555

Rate of Interest=I=8%=0.08

Time=t=2

Interest=I=PRT

➜1555×0.08×2

➜248.8

Savings=P+I

➜1555+248.8

➜1803.8

Kong took 15%, percent fewer seconds than Nolan took to complete his multiplication timed test. Kong took 85 seconds.
How many seconds did Nolan take?

Answers

Answer:

Step-by-step explanation:

Which means that Nolan took 100 seconds. This is all from Khan Academy so it's correct!!

Help pls I’ll give extra pointz

Answers

Answer:

The answer is (A) decreases

Expand and simplify (2x + 1)(x + 3)

Answers

expand and simplify (2x + 1)(x + 3)

answer : [tex]2x^2+7x+3[/tex]

-

explanation : expand the polynomial using the FOIL method.

-

FOIL : a technique for distributing two binomials. the letters FOIL stand for first, outer, inner, last. first means multiply the terms which occur first in each binomial, outer means multiply the outermost terms in the product, inner means multiply the innermost terms, and last means multiply the terms which occur last in each binomial.

-

step 1 : multiply each term in the first parentheses by each term in the second parentheses (FOIL)

ex : [tex]2x * x+2x * 3+x+3[/tex]

step 2 : calculate the product

ex: [tex]2x^2+2x * 3+x+3[/tex]

step 3 : calculate the product

ex: [tex]2x^2+6x+x+3[/tex]

step 4 : collect like terms

ex: [tex]2x^2+7x+3[/tex]

-

solution : [tex]2x^2+7x+3[/tex]

hope this helps !

- audrey ♡

Find the value of the expression 3+4r+n3 n=1 and r=2

Answers

Answer:

14

Step-by-step explanation:

I'll show you how I did it.

3+4r+n3=?

3+(4*r)+(n*3)=?

3+8+3=?

11+3=14

What is the length of the diagonal of a non -regulation tennis court with length 20 feet and width 15 feet

Answers

Answer:

25 feet

Step-by-step explanation:

using the sides 20 and 15, use the Pythagorean theorem to find the hypotenuse of the right triangle formed by the 2 side lengths and the diagonal.

[tex]a^{2} +b^{2} =c^{2} \\20^{2} +15^{2} =c^{2} \\400+225=c^{2} \\625=c^{2} \\25=c[/tex]

Which of the following graphs is the same as y = log1/2x?

Answers

Answer:

x=2^-y

A

Step-by-step explanation:

x | y

1 | 0

2 | -1

4 | -2

Una persona compra borregos, cabras y puercos jabalí. Son 100 animales vivos en total y paga $100 mil pesos. Cada borrego costó $500 pesos, tres cabras cuestan $4000 y cada puerco jabalí $3500.



Si denotamos con la variable xel número de borregos comprados por la persona, con y el número de cabras y con z el número de puercos jabalí, escribe las ecuaciones que representan las relaciones entre x,y,zde acuerdo a la información proporcionada.

Answers

Answer:

I'm sorry I just need points

Step-by-step explanation:

Pls help!!
Jody has 15 pound bag of potatoes. She uses 3/4 of the bag to make potato salad. How many pounds of potatoes does Jody use for the potato salad?

Answers

Answer:

11.25

Step-by-step explanation:

15x3/4=45/4=11.25pounds

When Rashaad goes bowling, his scores are normally distributed with a mean of 175
and a standard deviation of 13. Using the empirical rule, determine the interval that
would represent the middle 68% of the scores of all the games that Rashaad bowls.

Answers

Answer:

The interval (162, 188)would represent the middle 68% of the scores of all the games that Rashaad bowls.

Step-by-step explanation:

As per the  empirical rule of normal distribution, for any normally distributed curve, the values lie between the extreme values i.e  

(μ - σ) and (μ + σ).

Given  

μ  = 175

σ = 13

(μ - σ) = 175 -13 = 162

(μ + σ) = 175 + 13 = 188

Hence the required interval is 162, 188

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